Maths practice for 14 year olds - page 345 of 362
Number of problems found: 7232
- Homework
Together, the mother and Kate weigh 21.9 kg more than the father. The father weighs 8.1 kg more than the mother. The father weighs 40.2 kg more than Kate. Determine the weights of the father, mother, and Kate. - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Percentages
Expressed as a percentage: - IS trapezoid
Isosceles trapezoid arm measured 80 cm. Height is 65 cm, and the middle segment is 71 cm. Find the length of its bases. - Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10). - Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11 - Square2
The side of the square is a = 5.6 cm. How long is its diagonal? - Height UT
How long is the height in the equilateral triangle with a side f = 31? - Triangle
Calculate the area of the triangle ABC if b = c = 18 cm, R = 19 cm (R is the circumradius). - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - Silo
The outer perimeter of the silo is 10 m. The concrete wall is 13 cm thick. What is the diameter and area of the inside floor of the silo? - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Road
A gradient of 1:19 represents the average climb of the road. By what angle does the road moderate climb? - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α .
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